Solve the inequalities -6 (leq) 4 – 2x
- A.
-1 - B.
-1 - C.
-1 (leq) x (leq) 6 - D.
-1 (leq) x
Correct Answer: Option B
Explanation
-6 (leq) 4 – 2x
split inequalities into two and solve each part as follows:
-6 (leq) 4 – 2x = -6 – 4 (leq) -2x
-10 (leq) -2x
(frac{-10}{-2}) (geq) (frac{-2x}{-2})
giving 5 (geq) x or x (leq) 5
4 – 2x
-2x + x
-x
(frac{-x}{-1}) > (frac{1}{-1})
giving x > -1 or -1
Combining the two results, gives -1
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